document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355007>Question 355007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I am trying to solve a problem and not sure if its correct. The equation is y= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B10x%2B7 ALIGN=MIDDLE  ALT=\"5x%5E2%2B10x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I must write the quadratic equation into vertex form and find the vertex. <BR>\n" );
document.write( "What I did was factor out the 5 from the equation. So the result would be y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%5E2%2B2x%29%2B7 ALIGN=MIDDLE  ALT=\"5%28x%5E2%2B2x%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. To complete the perfect square trinomial, I made the equation y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%5E2%2B2x%2B1%29%2B7 ALIGN=MIDDLE  ALT=\"5%28x%5E2%2B2x%2B1%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2B1%29%5E2%2B7 ALIGN=MIDDLE  ALT=\"5%28x%2B1%29%5E2%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > adding 1 to both sides. Moving the constants to one side the equation came out to be y= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2B1%29%5E2%2B6 ALIGN=MIDDLE  ALT=\"5%28x%2B1%29%5E2%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > leaving the vertex to be (-1,6). \r<BR>\n" );
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document.write( "Is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253567 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B10x%2B7 ALIGN=MIDDLE  ALT=\"5x%5E2%2B10x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I must write the quadratic equation into vertex form and find the vertex. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "5x^2+10x+7 = y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5x^2+10x = y - 7<BR>\n" );
document.write( "5(x^2+2x+1) = y-7+5*1<BR>\n" );
document.write( "--<BR>\n" );
document.write( "5(x+1)^2 = y-2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertex: (-1,2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x%5E2%2B10x%2B7%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x%5E2%2B10x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );